Finite Group Databasebeta

← Group #11868976

Character table — Group #11868976

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12222233444466666636666666666612121212121212124412121212121212121212121212121212121212124444444444881212121212121212121212122424242422228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ91111-1-1111-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-11-1111-1-1-11-11-111-1-11-1111-1-1-111-1-111-1-111-1-1
χ101111-1-1111-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-11-1-1-11-1111-1-11-1-1111-1111-1-1-1-1-111-1-111-1-111
χ111111-1-1111-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-1-1111-11-1-1-111-111-1-1-11-1-1-111111-1-1-1-111-1-111
χ121111-1-1111-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-1-11-1-1-1111-11-11-1-111-11-1-1-1111-1-11111-1-111-1-1
χ131111-1-1111-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111111-1111-1-1-1-11-1111-1-11-1-1-11-111-1-11111-1-1-1-111
χ141111-1-1111-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111111-1-1-11-111-111-1-1-1111-1-1-11-11111-1-1-1-11111-1-1
χ151111-1-1111-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-11111-1111-11-1-11-1-1111-1-1-1111-11-1-1-1-111-1-11111-1-1
χ161111-1-1111-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-11111-11-1-1-11111-11-1-1-111-1111-11-1-111-1-111-1-1-1-111
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000002-200-2200000000002-200-2200000000000000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-22002-20000000000-22002-200000000000000
χ192222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-12-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220022000000-1-1-1-1-1-1-1-1000000000000
χ202222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-12-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-200000011111111000000000000
χ212222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-21111-1-1-1-11111111122002200-2-2000000-1-111-1-111000000000000
χ222222222-122222-122-1-1-122-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-21111-1-1-1-111111111-2-200-2-2002200000011-1-111-1-1000000000000
χ232222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-1-1-1-1-211-2-211-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i32-200-220000000000-11−i3i31-1−i3i3000000000000
χ242222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-1-1-1-1-211-2-211-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-22002-200000000001-1i3−i3-11i3−i3000000000000
χ252222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-1-1-1-1-211-2-211-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i32-200-220000000000-11i3−i31-1i3−i3000000000000
χ262222222-1-2-2-2-22-122-1-1-122-1-1-1-1-1-1-1-1-1-211-2-211-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-22002-200000000001-1−i3i3-11−i3i3000000000000
χ27222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-122-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200220022-1-1-1-100000000-1-1-1-100000000
χ28222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-122-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200-2-2111100000000111100000000
χ29222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-122-1-122-1-2-21111-2-2-2-2-1-1-1-1111111110022002200-2-2-1-1-1-100000000111100000000
χ30222222-122222-12-1-122-1-1-122-1-1-1-1-1-1-1-122-1-122-1-2-21111-2-2-2-2-1-1-1-11111111100-2-200-2-20022111100000000-1-1-1-100000000
χ312222-2-222-222-22222222-2-2-2-22-2-2-2-222-2-2-22222-20000000000-2-222000000002200-2-200000000002200-2-200000000000000
χ322222-2-222-222-22222222-2-2-2-22-2-2-2-222-2-2-22222-20000000000-2-22200000000-2-200220000000000-2-2002200000000000000
χ332222-2-22-12-2-222-122-1-1-1-2-211-11111-1-12-1-1-2-21122-222-2-2-1-111-1-111-1-1-1-111112-2002-2002-2000000-11-1-1-1111000000000000
χ342222-2-22-12-2-222-122-1-1-1-2-211-11111-1-12-1-1-2-21122-222-2-2-1-111-1-111-1-1-1-11111-2200-2200-220000001-1111-1-1-1000000000000
χ352222-2-22-12-2-222-122-1-1-1-2-211-11111-1-12-1-1-2-2112-22-2-22211-1-1-1-1111111-1-1-1-12-2002-200-22000000-1111-11-1-1000000000000
χ362222-2-22-12-2-222-122-1-1-1-2-211-11111-1-12-1-1-2-2112-22-2-22211-1-1-1-1111111-1-1-1-1-2200-22002-20000001-1-1-11-111000000000000
χ372222-2-22-1-222-22-122-1-1-1-2-211-11111-1-1-21122-1-1-2000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i32200-2-20000000000-1-1−i3i311i3−i3000000000000
χ382222-2-22-1-222-22-122-1-1-1-2-211-11111-1-1-21122-1-1-2000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2-20022000000000011i3−i3-1-1−i3i3000000000000
χ392222-2-22-1-222-22-122-1-1-1-2-211-11111-1-1-21122-1-1-2000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i32200-2-20000000000-1-1i3−i311−i3i3000000000000
χ402222-2-22-1-222-22-122-1-1-1-2-211-11111-1-1-21122-1-1-2000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2-20022000000000011−i3i3-1-1i3−i3000000000000
χ412222-2-2-122-2-22-12-1-122-111-2-2-11111-1-1-12211-2-2-12-2-1-11122-2-2-1-111-1-1-1-11111002200-2-2002-2-1-11100000000-1-11100000000
χ422222-2-2-122-2-22-12-1-122-111-2-2-11111-1-1-12211-2-2-12-2-1-11122-2-2-1-111-1-1-1-1111100-2-2002200-2211-1-10000000011-1-100000000
χ432222-2-2-122-2-22-12-1-122-111-2-2-11111-1-1-12211-2-2-1-2211-1-1-2-222-1-1111111-1-1-1-1002200-2-200-22-1-1110000000011-1-100000000
χ442222-2-2-122-2-22-12-1-122-111-2-2-11111-1-1-12211-2-2-1-2211-1-1-2-222-1-1111111-1-1-1-100-2-20022002-211-1-100000000-1-11100000000
χ4522-2-22-22222-2-222-2-2-2-222-22-2-222-2-22-222-22-22-2-200000000002-22-20000000000000000000000000000000000002-22-20000
χ4622-2-22-22222-2-222-2-2-2-222-22-2-222-2-22-222-22-22-2-200000000002-22-2000000000000000000000000000000000000-22-220000
χ4722-2-22-222-2-22222-2-2-2-222-22-2-222-2-22-2-2-22-22-2220000000000-22-2200000000002i−2i002i−2i00002i−2i2i−2i00000000000000000000
χ4822-2-22-222-2-22222-2-2-2-222-22-2-222-2-22-2-2-22-22-2220000000000-22-220000000000−2i2i00−2i2i0000−2i2i−2i2i00000000000000000000
χ4922-2-22-2-12-2-222-1211-2-2-1-112-21-1-111-111-221-1-22-1003−33−300001-11-13−33−33−33−3002i−2i002i−2i0000−ii−ii00000000−i3i3−i3i300000000
χ5022-2-22-2-12-2-222-1211-2-2-1-112-21-1-111-111-221-1-22-1003−33−300001-11-13−33−33−33−300−2i2i00−2i2i0000i−ii−i00000000i3−i3i3−i300000000
χ5122-2-22-2-12-2-222-1211-2-2-1-112-21-1-111-111-221-1-22-100−33−3300001-11-1−33−33−33−33002i−2i002i−2i0000−ii−ii00000000i3−i3i3−i300000000
χ5222-2-22-2-12-2-222-1211-2-2-1-112-21-1-111-111-221-1-22-100−33−3300001-11-1−33−33−33−3300−2i2i00−2i2i0000i−ii−i00000000−i3i3−i3i300000000
χ5322-2-2-22222-22-222-2-2-2-22-22-22-2-2-2222-222-2-22-22-200000000002-2-220000000000000000000000000000000000002-2-220000
χ5422-2-2-22222-22-222-2-2-2-22-22-22-2-2-2222-222-2-22-22-200000000002-2-22000000000000000000000000000000000000-222-20000
χ5522-2-2-2222-22-2222-2-2-2-22-22-22-2-2-2222-2-2-222-22-220000000000-222-200000000002i−2i00−2i2i00002i−2i−2i2i00000000000000000000
χ5622-2-2-2222-22-2222-2-2-2-22-22-22-2-2-2222-2-2-222-22-220000000000-222-20000000000−2i2i002i−2i0000−2i2i2i−2i00000000000000000000
χ5722-2-2-22-12-22-22-1211-2-2-11-1-22111-1-1-111-22-112-2-1003−3−3300001-1-113−33−3−33−33002i−2i00−2i2i0000−iii−i00000000−i3i3i3−i300000000
χ5822-2-2-22-12-22-22-1211-2-2-11-1-22111-1-1-111-22-112-2-1003−3−3300001-1-113−33−3−33−3300−2i2i002i−2i0000i−i−ii00000000i3−i3−i3i300000000
χ5922-2-2-22-12-22-22-1211-2-2-11-1-22111-1-1-111-22-112-2-100−333−300001-1-11−33−333−33−3002i−2i00−2i2i0000−iii−i00000000i3−i3−i3i300000000
χ6022-2-2-22-12-22-22-1211-2-2-11-1-22111-1-1-111-22-112-2-100−333−300001-1-11−33−333−33−300−2i2i002i−2i0000i−i−ii00000000−i3i3i3−i300000000
χ61444444-24-4-4-4-4-24-2-244-2-2-244-2-2-2-2-2-2-22-4-422-4-420000000000222200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222000000−2i32i3−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000002i3−2i32i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-4-24-444-4-24-2-244-222-4-4-22222-2-22-4-4-2-2442000000000022-2-200000000000000000000000000000000000000000000
χ674444-4-4-2-24-4-44-2-2-2-2-2-2122221-1-1-1-111-2-2-22222-24-4-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000
χ684444-4-4-2-24-4-44-2-2-2-2-2-2122221-1-1-1-111-2-2-22222-2-4422-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ694444-4-4-2-2-444-4-2-2-2-2-2-2122221-1-1-1-111222-2-2-2-22000000−2i32i32i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-4-2-2-444-4-2-2-2-2-2-2122221-1-1-1-111222-2-2-2-220000002i3−2i3−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ7144-4-44-44-244-4-44-2-4-422-24-4-222-2-222-224-224-4-22-40000000000-22-2200000000000000000000000000000000000000000000
χ7244-4-44-44-2-4-4444-2-4-422-24-4-222-2-222-22-42-2-442-2400000000002-22-200000000000000000000000000000000000000000000
χ7344-4-44-4-2444-4-4-2422-4-4-2-224-42-2-222-22-24-4-224-420000000000-22-2200000000000000000000000000000000000000000000
χ7444-4-44-4-2-244-4-4-2-222221-22-22-111-1-11-1-2-22-22-22200000000001-11-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-4-2-222221-22-22-111-1-11-1-2-22-22-22200000000001-11-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000
χ7644-4-44-4-2-2-4-444-2-222221-22-22-111-1-11-122-22-22-2-20023−2323−230000-11-11−33−33−33−33000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-444-2-222221-22-22-111-1-11-122-22-22-2-200−2323−23230000-11-113−33−33−33−3000000000000000000000000000000000000
χ7844-4-4-444-24-44-44-2-4-422-2-442-2222-2-2-224-22-442-2-40000000000-222-200000000000000000000000000000000000000000000
χ7944-4-4-444-2-44-444-2-4-422-2-442-2222-2-2-22-42-24-4-22400000000002-2-2200000000000000000000000000000000000000000000
χ8044-4-4-44-244-44-4-2422-4-4-22-2-44222-2-2-22-24-42-2-4420000000000-222-200000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4-2-2222212-22-2-1-1-1111-1-2-222-22-2200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4-2-2222212-22-2-1-1-1111-1-2-222-22-2200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44-2-2222212-22-2-1-1-1111-122-2-22-22-20023−23−23230000-111-1−33−333−33−3000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44-2-2222212-22-2-1-1-1111-122-2-22-22-200−232323−230000-111-13−33−3−33−33000000000000000000000000000000000000
χ854-44-400440000-4-44-44-44000040000-4-40000000000000000000000000000000000000000000000000000000000000000−2i22i2
χ864-44-400440000-4-44-44-44000040000-4-400000000000000000000000000000000000000000000000000000000000000002i2−2i2
χ874-4-4400440000-4-4-44-4440000-40000-440000000000000000000000000000000000000000000000000000000000000022−2200
χ884-4-4400440000-4-4-44-4440000-40000-4400000000000000000000000000000000000000000000000000000000000000−222200
χ898-88-8008-40000-848-8-44-40000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4800004-8-448-8-40000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-4000044-44-442000026-66-6-2-2000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-4000044-44-44200002-66-66-2-2000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-884-4-40000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-84-4-88-40000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000444-44-420000-26-6-66-22000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-40000444-44-420000-2-666-6-22000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).